摘要
In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.
In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O(hn). Finally, we also give two numerical examples.
出处
《计算数学》
CSCD
北大核心
2004年第2期237-246,共10页
Mathematica Numerica Sinica
基金
国家重点基础研究专项经费(G19990328)
国家广电总局科研基金(BG0103)资助项目.
关键词
有限元
自然边界元
GALERKIN逼近
耦合
finite element method, natural boundary element method, Galerkin approximation
